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Finding the Third Proportional to 271,604 and 422,935

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Solution

The third proportional to 271,604 and 422,935 is: 658,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,604 : 422,935 = 422,935 : x
  2. Step 2: Convert to fraction form
    271,604/422,935 = 422,935/x
  3. Step 3: Cross multiply
    271,604x = 422,935 × 422,935
  4. Step 4: Simplify right side
    271,604x = 178,874,014,225
  5. Step 5: Solve for x
    x = 178,874,014,225/271,604
  6. Step 6: Final answer
    x = 658,583.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.